Least Common Multiple of 448, 588, 18

Q: How to Find the LCM of 448, 588, 18 ?

Least Common Multiple of 448, 588, 18 = 28224 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(448, 588, 18) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 = 28224.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 448, 588, 18 i.e. 28224 smallest integer divisible by all numbers.

Least common multiple (LCM) of 448, 588, 18 is 28224.

LCM(448, 588, 18) = 28224

LCM of 448, 588, 18

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 448, 588, 18 by common division method
Least Common Multiple of 448, 588, 18 with GCF Formula

Least Common Multiple of 448,588,18

Least Common Multiple (LCM) of 448,588,18 is 28224

2	448, 588, 18
2	224, 294, 9
3	112, 147, 9
7	112, 49, 3
	16, 7, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 16 x 7 x 3 = 28224

Least Common Multiple of 448,588,18 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 448,588,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,588,18) = 2

common factors(in case of two or more numbers have common factors) = 84

GCF(448,588,18) x common factors =2 x 84 = 168

LCM(448,588,18) = ( 448 × 588 × 18 ) / 168

LCM(448,588,18) = 4741632 / 168

LCM(448,588,18) = 28224

∴ Least Common Multiple of 448,588,18 is 28224

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 448, 588, 18

1. What is the LCM of 448, 588, 18?

Answer: LCM of 448, 588, 18 is 28224.

2. What are the Factors of 28224?

Answer: Factors of 28224 are . There are integers that are factors of 28224

3. How to Find the LCM of 448, 588, 18 ?

Least Common Multiple of 448, 588, 18.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(448, 588, 18) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 = 28224.